Question

find the surface area of this box: 8\ h 12\ w 16\ l

Explanation:

Step1: Identify surface - area formula

The surface - area formula for a rectangular prism is $SA = 2(lw+lh + wh)$, where $l$ is length, $w$ is width, and $h$ is height.

Step2: Substitute values

Given $l = 16$, $w = 12$, and $h = 8$.
$SA=2((16\times12)+(16\times8)+(12\times8))$.
First, calculate the products inside the parentheses: $16\times12 = 192$, $16\times8=128$, $12\times8 = 96$.
Then, $SA = 2(192 + 128+96)$.
Next, add the numbers inside the parentheses: $192+128 + 96=416$.
Finally, $SA=2\times416 = 832$.

Answer:

$832$ square inches